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106377132 = 2238864761
BaseRepresentation
bin1100101011100…
…10111110101100
321102011111222210
412111302332230
5204213032012
614320010420
72431122261
oct625627654
9242144883
10106377132
1155057794
122b760a10
1319067364
14101b1268
15951423c
hex6572fac

106377132 has 12 divisors (see below), whose sum is σ = 248213336. Its totient is φ = 35459040.

The previous prime is 106377113. The next prime is 106377137. The reversal of 106377132 is 231773601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1063771322 = 22632188425090848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106377132.

It is not an unprimeable number, because it can be changed into a prime (106377137) 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, 4432369 + ... + 4432392.

Almost surely, 2106377132 is an apocalyptic number.

106377132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106377132 is an abundant number, since it is smaller than the sum of its proper divisors (141836204).

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

106377132 is a wasteful number, since it uses less digits than its factorization.

106377132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8864768 (or 8864766 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 106377132 is about 10313.9290282608. The cubic root of 106377132 is about 473.8229501306.

The spelling of 106377132 in words is "one hundred six million, three hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8864761 17729522 26594283 35459044 53188566 106377132