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107237985102 = 2343146212
BaseRepresentation
bin110001111011111100…
…0011100101101001110
3101020210121012002020000
41203313320130231032
53224110411010402
6121133042105130
710514312555613
oct1436770345516
9336717162200
10107237985102
1141530057476
121894994b1a6
13a16020c371
14529444a50a
152bc98b2c1c
hex18f7e1cb4e

107237985102 has 60 divisors (see below), whose sum is σ = 248097583008. Its totient is φ = 34585412400.

The previous prime is 107237985097. The next prime is 107237985103. The reversal of 107237985102 is 201589732701.

107237985102 is a `hidden beast` number, since 10 + 7 + 2 + 37 + 98 + 510 + 2 = 666.

It is a super-2 number, since 2×1072379851022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107237985103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23204352 + ... + 23208972.

Almost surely, 2107237985102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107237985102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124048791504).

107237985102 is an abundant number, since it is smaller than the sum of its proper divisors (140859597906).

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

107237985102 is an frugal number, since it uses more digits than its factorization.

107237985102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9287 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

It can be divided in two parts, 1072379 and 85102, that added together give a triangular number (1157481 = T1521).

The spelling of 107237985102 in words is "one hundred seven billion, two hundred thirty-seven million, nine hundred eighty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 4621 5022 9242 13863 27726 41589 83178 124767 143251 249534 286502 374301 429753 748602 859506 1289259 2578518 3867777 7735554 11603331 21353641 23206662 42707282 64060923 128121846 192182769 384365538 576548307 661962871 1153096614 1323925742 1729644921 1985888613 3459289842 3971777226 5957665839 11915331678 17872997517 35745995034 53618992551 107237985102