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105156153042 = 23232223914797
BaseRepresentation
bin110000111101111001…
…0111000111011010010
3101001102111212001111220
41201323302320323102
53210324433344132
6120150313145510
710411603360443
oct1417362707322
9331374761456
10105156153042
11406619a8206
12184686bb296
139bbab12a85
145137b6d2ca
152b06c38a2c
hex187bcb8ed2

105156153042 has 48 divisors (see below), whose sum is σ = 219966942720. Its totient is φ = 33510809376.

The previous prime is 105156152987. The next prime is 105156153043. The reversal of 105156153042 is 240351651501.

It is a super-2 number, since 2×1051561530422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105156152994 and 105156153012.

It is not an unprimeable number, because it can be changed into a prime (105156153043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7099188 + ... + 7113984.

It is an arithmetic number, because the mean of its divisors is an integer number (4582644640).

Almost surely, 2105156153042 is an apocalyptic number.

105156153042 is an abundant number, since it is smaller than the sum of its proper divisors (114810789678).

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

105156153042 is a wasteful number, since it uses less digits than its factorization.

105156153042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087 (or 17064 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 105156153042 in words is "one hundred five billion, one hundred fifty-six million, one hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 23 46 69 138 529 1058 1587 2239 3174 4478 6717 13434 14797 29594 44391 51497 88782 102994 154491 308982 340331 680662 1020993 1184431 2041986 2368862 3553293 7106586 7827613 15655226 23482839 33130483 46965678 66260966 99391449 198782898 762001109 1524002218 2286003327 4572006654 17526025507 35052051014 52578076521 105156153042