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106844922432 = 263210317910061
BaseRepresentation
bin110001110000001110…
…1000010001001000000
3101012210012120102121100
41203200131002021000
53222304300004212
6121030041254400
710501500566403
oct1434035021100
9335705512540
10106844922432
114134919a696
121885a194400
13a0c99595c1
14525816dd3a
152ba511ebdc
hex18e0742240

106844922432 has 168 divisors, whose sum is σ = 310983416640. Its totient is φ = 35068677120.

The previous prime is 106844922421. The next prime is 106844922461. The reversal of 106844922432 is 234229448601.

106844922432 is a `hidden beast` number, since 106 + 8 + 4 + 492 + 24 + 32 = 666.

It is a super-2 number, since 2×1068449224322 (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 23 ways as a sum of consecutive naturals, for example, 10614682 + ... + 10624742.

Almost surely, 2106844922432 is an apocalyptic number.

106844922432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106844922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155491708320).

106844922432 is an abundant number, since it is smaller than the sum of its proper divisors (204138494208).

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

106844922432 is a wasteful number, since it uses less digits than its factorization.

106844922432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 106844922432 in words is "one hundred six billion, eight hundred forty-four million, nine hundred twenty-two thousand, four hundred thirty-two".