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106159992 = 23319212253
BaseRepresentation
bin1100101001111…
…01111101111000
321101202111010120
412110331331320
5204134104432
614311213240
72426226231
oct624757570
9241674116
10106159992
1154a19634
122b677220
1318cbc583
1410156088
1594bec2c
hex653df78

106159992 has 48 divisors (see below), whose sum is σ = 280126440. Its totient is φ = 33521472.

The previous prime is 106159987. The next prime is 106160003. The reversal of 106159992 is 299951601.

It is a happy number.

It is a super-2 number, since 2×1061599922 = 22539887802880128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2538 + ... + 14790.

Almost surely, 2106159992 is an apocalyptic number.

106159992 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 106159992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140063220).

106159992 is an abundant number, since it is smaller than the sum of its proper divisors (173966448).

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

106159992 is a wasteful number, since it uses less digits than its factorization.

106159992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 106159992 is about 10303.3971096915. The cubic root of 106159992 is about 473.5003369351.

The spelling of 106159992 in words is "one hundred six million, one hundred fifty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2888 4332 8664 12253 24506 36759 49012 73518 98024 147036 232807 294072 465614 698421 931228 1396842 1862456 2793684 4423333 5587368 8846666 13269999 17693332 26539998 35386664 53079996 106159992