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104105115312 = 24311653301943
BaseRepresentation
bin110000011110100100…
…1011111111010110000
3100221201021010210210120
41200331021133322300
53201201402142222
6115454125530240
710343551610502
oct1407511377260
9327637123716
10104105115312
1140172694a90
1218214713980
139a81146063
145078337d72
152a9482515c
hex183d25feb0

104105115312 has 80 divisors (see below), whose sum is σ = 293837407488. Its totient is φ = 31498589440.

The previous prime is 104105115271. The next prime is 104105115313. The reversal of 104105115312 is 213511501401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104105115313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193813 + ... + 495755.

Almost surely, 2104105115312 is an apocalyptic number.

104105115312 is a gapful number since it is divisible by the number (12) 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 104105115312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146918703744).

104105115312 is an abundant number, since it is smaller than the sum of its proper divisors (189732292176).

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

104105115312 is a wasteful number, since it uses less digits than its factorization.

104105115312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302618 (or 302612 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 104105115312 its reverse (213511501401), we get a palindrome (317616616713).

The spelling of 104105115312 in words is "one hundred four billion, one hundred five million, one hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 653 1306 1959 2612 3918 5224 7183 7836 10448 14366 15672 21549 28732 31344 43098 57464 86196 114928 172392 301943 344784 603886 905829 1207772 1811658 2415544 3321373 3623316 4831088 6642746 7246632 9964119 13285492 14493264 19928238 26570984 39856476 53141968 79712952 159425904 197168779 394337558 591506337 788675116 1183012674 1577350232 2168856569 2366025348 3154700464 4337713138 4732050696 6506569707 8675426276 9464101392 13013139414 17350852552 26026278828 34701705104 52052557656 104105115312