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107556373 = 3743671009
BaseRepresentation
bin1100110100100…
…10111000010101
321111101102121101
412122102320111
5210013300443
614401150101
72444133301
oct632227025
9244342541
10107556373
1155792771
123002b331
131938b032
14103dad01
15969884d
hex6692e15

107556373 has 16 divisors (see below), whose sum is σ = 114832960. Its totient is φ = 100590336.

The previous prime is 107556347. The next prime is 107556401. The reversal of 107556373 is 373655701.

It is a happy number.

It is a 4-Lehmer number, since φ(107556373) divides (107556373-1)4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107556373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R107556372.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107554373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106093 + ... + 107101.

It is an arithmetic number, because the mean of its divisors is an integer number (7177060).

Almost surely, 2107556373 is an apocalyptic number.

107556373 is the 5544-th centered heptagonal number.

It is an amenable number.

107556373 is a deficient number, since it is larger than the sum of its proper divisors (7276587).

107556373 is a wasteful number, since it uses less digits than its factorization.

107556373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 107556373 is about 10370.9388678171. The cubic root of 107556373 is about 475.5673707792.

The spelling of 107556373 in words is "one hundred seven million, five hundred fifty-six thousand, three hundred seventy-three".

Divisors: 1 37 43 67 1009 1591 2479 2881 37333 43387 67603 106597 1605319 2501311 2906929 107556373