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106375488 = 2631134903
BaseRepresentation
bin1100101011100…
…10100101000000
321102011102201220
412111302211000
5204213003423
614315555040
72431114422
oct625624500
9242142656
10106375488
115505652a
122b75ba80
131906669b
14101b0812
1595139e3
hex6572940

106375488 has 56 divisors (see below), whose sum is σ = 284000448. Its totient is φ = 35137536.

The previous prime is 106375463. The next prime is 106375499. The reversal of 106375488 is 884573601.

It is a super-2 number, since 2×1063754882 = 22631488894476288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19245 + ... + 24147.

Almost surely, 2106375488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142000224).

106375488 is an abundant number, since it is smaller than the sum of its proper divisors (177624960).

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

106375488 is a wasteful number, since it uses less digits than its factorization.

106375488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 106375488 is about 10313.8493299059. The cubic root of 106375488 is about 473.8205092271.

The spelling of 106375488 in words is "one hundred six million, three hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 3616 4903 5424 7232 9806 10848 14709 19612 21696 29418 39224 58836 78448 117672 156896 235344 313792 470688 554039 941376 1108078 1662117 2216156 3324234 4432312 6648468 8864624 13296936 17729248 26593872 35458496 53187744 106375488