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106155192 = 233111330931
BaseRepresentation
bin1100101001111…
…00110010111000
321101202020112210
412110330302320
5204133431232
614311135120
72426206233
oct624746270
9241666483
10106155192
1154a15a70
122b6744a0
1318cba330
141015441a
1594bd5cc
hex653ccb8

106155192 has 64 divisors (see below), whose sum is σ = 311794560. Its totient is φ = 29692800.

The previous prime is 106155163. The next prime is 106155193. The reversal of 106155192 is 291551601.

It is a super-2 number, since 2×1061551922 = 22537849577113728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106155193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12034 + ... + 18897.

It is an arithmetic number, because the mean of its divisors is an integer number (4871790).

Almost surely, 2106155192 is an apocalyptic number.

106155192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106155192 is an abundant number, since it is smaller than the sum of its proper divisors (205639368).

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

106155192 is a wasteful number, since it uses less digits than its factorization.

106155192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30964 (or 30960 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 106155192 is about 10303.1641741748. The cubic root of 106155192 is about 473.4932004241.

The spelling of 106155192 in words is "one hundred six million, one hundred fifty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 30931 61862 92793 123724 185586 247448 340241 371172 402103 680482 742344 804206 1020723 1206309 1360964 1608412 2041446 2412618 2721928 3216824 4082892 4423133 4825236 8165784 8846266 9650472 13269399 17692532 26538798 35385064 53077596 106155192