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105963879402 = 2344273153077
BaseRepresentation
bin110001010101111110…
…0000111101111101010
3101010111210201210210000
41202223330013233222
53214003223120102
6120402405403430
710440612054003
oct1425374075752
9333453653700
10105963879402
1140a36935a57
1218653109576
139cb926c674
1451b314a1aa
152b52ada01c
hex18abf07bea

105963879402 has 40 divisors (see below), whose sum is σ = 237494700036. Its totient is φ = 35312796288.

The previous prime is 105963879379. The next prime is 105963879403. The reversal of 105963879402 is 204978369501.

105963879402 is a `hidden beast` number, since 1 + 0 + 596 + 3 + 8 + 7 + 9 + 40 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100071628281 + 5892251121 = 316341^2 + 76761^2 .

It is a super-2 number, since 2×1059638794022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105963879403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 615688 + ... + 768764.

It is a 1-persistent number, because it is pandigital, but 2⋅105963879402 = 211927758804 is not.

Almost surely, 2105963879402 is an apocalyptic number.

105963879402 is an abundant number, since it is smaller than the sum of its proper divisors (131530820634).

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

105963879402 is a wasteful number, since it uses less digits than its factorization.

105963879402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157364 (or 157355 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 105963879402 in words is "one hundred five billion, nine hundred sixty-three million, eight hundred seventy-nine thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 4273 8546 12819 25638 38457 76914 115371 153077 230742 306154 346113 459231 692226 918462 1377693 2755386 4133079 8266158 12399237 24798474 654098021 1308196042 1962294063 3924588126 5886882189 11773764378 17660646567 35321293134 52981939701 105963879402