101071557 has 10 divisors (see below), whose sum is σ = 150983558. Its totient is φ = 67380984.

The previous prime is 101071547. The next prime is 101071567. The reversal of 101071557 is 755170101.

101071557 is a `hidden beast` number, since 1 + 0 + 107 + 1 + 557 = 666.

It is an interprime number because it is at equal distance from previous prime (101071547) and next prime (101071567).

It can be written as a sum of positive squares in only one way, i.e., 73256481 + 27815076 = 8559^2 + 5274^2 .

It is not a de Polignac number, because 101071557 - 2⁴ = 101071541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101071557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101071547) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 623818 + ... + 623979.

Almost surely, 2^101071557 is an apocalyptic number.

It is an amenable number.

101071557 is a deficient number, since it is larger than the sum of its proper divisors (49912001).

101071557 is an equidigital number, since it uses as much as digits as its factorization.

101071557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247809 (or 1247800 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 27.

The square root of 101071557 is about 10053.4350845868. The cubic root of 101071557 is about 465.8109055531.

It can be divided in two parts, 10107 and 1557, that added together give a square (11664 = 108²).

The spelling of 101071557 in words is "one hundred one million, seventy-one thousand, five hundred fifty-seven".