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106337094432 = 2531107678067
BaseRepresentation
bin110001100001000101…
…1110100101100100000
3101011110211000002112220
41203002023310230200
53220234244010212
6120503420551040
710453063250322
oct1430213645440
9334424002486
10106337094432
1141108576a28
12187380b2480
13a04869346a
14520a93b612
152b7575c38c
hex18c22f4b20

106337094432 has 24 divisors (see below), whose sum is σ = 279134873136. Its totient is φ = 35445698112.

The previous prime is 106337094431. The next prime is 106337094433. The reversal of 106337094432 is 234490733601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106337094431) and next prime (106337094433).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1063370944322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106337094431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553838938 + ... + 553839129.

It is an arithmetic number, because the mean of its divisors is an integer number (11630619714).

Almost surely, 2106337094432 is an apocalyptic number.

106337094432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106337094432 is an abundant number, since it is smaller than the sum of its proper divisors (172797778704).

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

106337094432 is a wasteful number, since it uses less digits than its factorization.

106337094432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107678080 (or 1107678072 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 106337094432 in words is "one hundred six billion, three hundred thirty-seven million, ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1107678067 2215356134 3323034201 4430712268 6646068402 8861424536 13292136804 17722849072 26584273608 35445698144 53168547216 106337094432