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107745960 = 233571943157
BaseRepresentation
bin1100110110000…
…01001010101000
321111202001200010
412123001022220
5210040332320
614405211520
72445553110
oct633011250
9244661603
10107745960
1155902153
1230100ba0
131942640a
141044a040
1596d4ae0
hex66c12a8

107745960 has 256 divisors, whose sum is σ = 400435200. Its totient is φ = 22643712.

The previous prime is 107745919. The next prime is 107745971. The reversal of 107745960 is 69547701.

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 63 ways as a sum of consecutive naturals, for example, 686202 + ... + 686358.

It is an arithmetic number, because the mean of its divisors is an integer number (1564200).

Almost surely, 2107745960 is an apocalyptic number.

107745960 is a gapful number since it is divisible by the number (10) 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 107745960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200217600).

107745960 is an abundant number, since it is smaller than the sum of its proper divisors (292689240).

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

107745960 is a wasteful number, since it uses less digits than its factorization.

107745960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 107745960 is about 10380.0751442367. The cubic root of 107745960 is about 475.8466304373.

The spelling of 107745960 in words is "one hundred seven million, seven hundred forty-five thousand, nine hundred sixty".