Search a number
-
+
105103453440 = 283527370691
BaseRepresentation
bin110000111100010100…
…1110110110100000000
3101001021211200122020210
41201320221312310000
53210222441002230
6120141151434120
710410363420336
oct1417051666400
9331254618223
10105103453440
1140635183217
1218452b25940
139bacc2098b
145130b71b56
152b022c8eb0
hex1878a76d00

105103453440 has 72 divisors (see below), whose sum is σ = 335674166688. Its totient is φ = 28027586560.

The previous prime is 105103453417. The next prime is 105103453457. The reversal of 105103453440 is 44354301501.

It is a super-2 number, since 2×1051034534402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105103453398 and 105103453407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13681506 + ... + 13689185.

It is an arithmetic number, because the mean of its divisors is an integer number (4662141204).

Almost surely, 2105103453440 is an apocalyptic number.

105103453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105103453440 is an abundant number, since it is smaller than the sum of its proper divisors (230570713248).

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

105103453440 is an equidigital number, since it uses as much as digits as its factorization.

105103453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27370715 (or 27370701 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105103453440 its reverse (44354301501), we get a palindrome (149457754941).

The spelling of 105103453440 in words is "one hundred five billion, one hundred three million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 27370691 54741382 82112073 109482764 136853455 164224146 218965528 273706910 328448292 410560365 437931056 547413820 656896584 821120730 875862112 1094827640 1313793168 1642241460 1751724224 2189655280 2627586336 3284482920 3503448448 4379310560 5255172672 6568965840 7006896896 8758621120 10510345344 13137931680 17517242240 21020690688 26275863360 35034484480 52551726720 105103453440