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106385715760 = 2451778224791
BaseRepresentation
bin110001100010100010…
…1010011001000110000
3101011121012111022110211
41203011011103020300
53220334220401020
6120512315033504
710454223443422
oct1430505231060
9334535438424
10106385715760
1141132a65945
121875043b894
13a05578818c
145213196812
152b79b6385a
hex18c5153230

106385715760 has 40 divisors (see below), whose sum is σ = 261896603616. Its totient is φ = 40051092480.

The previous prime is 106385715739. The next prime is 106385715797. The reversal of 106385715760 is 67517583601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1063857157602 (a number of 23 digits) contains 22 as substring.

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, 39111036 + ... + 39113755.

Almost surely, 2106385715760 is an apocalyptic number.

106385715760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106385715760 is an abundant number, since it is smaller than the sum of its proper divisors (155510887856).

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

106385715760 is a wasteful number, since it uses less digits than its factorization.

106385715760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78224821 (or 78224815 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 106385715760 in words is "one hundred six billion, three hundred eighty-five million, seven hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 78224791 156449582 312899164 391123955 625798328 782247910 1251596656 1329821447 1564495820 2659642894 3128991640 5319285788 6257983280 6649107235 10638571576 13298214470 21277143152 26596428940 53192857880 106385715760