Search a number
-
+
106373157 = 31121811619
BaseRepresentation
bin1100101011100…
…10000000100101
321102011022112120
412111302000211
5204212420112
614315540153
72431104552
oct625620045
9242138476
10106373157
1155054800
122b75a659
13190655c7
14101ada29
159512e8c
hex6572025

106373157 has 24 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 64072800.

The previous prime is 106373143. The next prime is 106373161. The reversal of 106373157 is 751373601.

It is not a de Polignac number, because 106373157 - 26 = 106373093 is a prime.

It is a super-2 number, since 2×1063731572 = 22630497060293298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106373117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64894 + ... + 66512.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2106373157 is an apocalyptic number.

It is an amenable number.

106373157 is a deficient number, since it is larger than the sum of its proper divisors (50481723).

106373157 is a wasteful number, since it uses less digits than its factorization.

106373157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 106373157 is about 10313.7363258908. The cubic root of 106373157 is about 473.8170482679.

The spelling of 106373157 in words is "one hundred six million, three hundred seventy-three thousand, one hundred fifty-seven".

Divisors: 1 3 11 33 121 181 363 543 1619 1991 4857 5973 17809 21901 53427 65703 195899 293039 587697 879117 3223429 9670287 35457719 106373157