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106157923153 is a prime number
BaseRepresentation
bin110001011011110000…
…0010101101101010001
3101011000022212020202121
41202313200111231101
53214402412020103
6120433540414241
710445456313142
oct1426740255521
9334008766677
10106157923153
114102641a997
12186a80a7381
13a01a51c859
1451d0c1bac9
152b64b696bd
hex18b7815b51

106157923153 has 2 divisors, whose sum is σ = 106157923154. Its totient is φ = 106157923152.

The previous prime is 106157923139. The next prime is 106157923159. The reversal of 106157923153 is 351329751601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105919004304 + 238918849 = 325452^2 + 15457^2 .

It is a cyclic number.

It is not a de Polignac number, because 106157923153 - 233 = 97567988561 is a prime.

It is a super-2 number, since 2×1061579231532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106157923159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53078961576 + 53078961577.

It is an arithmetic number, because the mean of its divisors is an integer number (53078961577).

Almost surely, 2106157923153 is an apocalyptic number.

It is an amenable number.

106157923153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106157923153 is an equidigital number, since it uses as much as digits as its factorization.

106157923153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 170100, while the sum is 43.

The spelling of 106157923153 in words is "one hundred six billion, one hundred fifty-seven million, nine hundred twenty-three thousand, one hundred fifty-three".