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107108204544 = 2153211137241
BaseRepresentation
bin110001111000000100…
…1011000000000000000
3101020110112222112202200
41203300021120000000
53223324200021134
6121112124313200
710511145500625
oct1436011300000
9336415875680
10107108204544
1141473875410
12189123a2800
13a13c36c733
14528110634c
152bbd2c9499
hex18f0258000

107108204544 has 384 divisors, whose sum is σ = 341422670160. Its totient is φ = 32086425600.

The previous prime is 107108204513. The next prime is 107108204561. The reversal of 107108204544 is 445402801701.

It is a happy number.

107108204544 is a `hidden beast` number, since 1 + 0 + 7 + 108 + 2 + 0 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1071082045442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107108204499 and 107108204508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444432264 + ... + 444432504.

Almost surely, 2107108204544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107108204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170711335080).

107108204544 is an abundant number, since it is smaller than the sum of its proper divisors (234314465616).

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

107108204544 is a wasteful number, since it uses less digits than its factorization.

107108204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 107108204544 in words is "one hundred seven billion, one hundred eight million, two hundred four thousand, five hundred forty-four".