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10105134500 = 2253732511103
BaseRepresentation
bin10010110100101000…
…00001110110100100
3222002020121000112202
421122110001312210
5131143403301000
64350420034032
7505262140346
oct113224016644
928066530482
1010105134500
1143160a312a
121b60232918
13c5070b036
146bc0cd296
153e2228dd5
hex25a501da4

10105134500 has 96 divisors (see below), whose sum is σ = 22481432064. Its totient is φ = 3967200000.

The previous prime is 10105134499. The next prime is 10105134517. The reversal of 10105134500 is 543150101.

It is a super-2 number, since 2×101051345002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9160949 + ... + 9162051.

It is an arithmetic number, because the mean of its divisors is an integer number (234181584).

Almost surely, 210105134500 is an apocalyptic number.

10105134500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240716032).

10105134500 is an abundant number, since it is smaller than the sum of its proper divisors (12376297564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105134500 is a wasteful number, since it uses less digits than its factorization.

10105134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10105134500 its reverse (543150101), we get a palindrome (10648284601).

The spelling of 10105134500 in words is "ten billion, one hundred five million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 251 292 365 500 502 730 1004 1103 1255 1460 1825 2206 2510 3650 4412 5020 5515 6275 7300 9125 11030 12550 18250 18323 22060 25100 27575 31375 36500 36646 55150 62750 73292 80519 91615 110300 125500 137875 161038 183230 275750 276853 322076 366460 402595 458075 551500 553706 805190 916150 1107412 1384265 1610380 1832300 2012975 2290375 2768530 4025950 4580750 5537060 6921325 8051900 9161500 10064875 13842650 20129750 20210269 27685300 34606625 40259500 40420538 69213250 80841076 101051345 138426500 202102690 404205380 505256725 1010513450 2021026900 2526283625 5052567250 10105134500