101357097 has 16 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 65446272.

The previous prime is 101357093. The next prime is 101357099. The reversal of 101357097 is 790753101.

It is not a de Polignac number, because 101357097 - 2² = 101357093 is a prime.

It is a super-2 number, since 2×101357097² = 20546522224534818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101357093) 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 15 ways as a sum of consecutive naturals, for example, 23904 + ... + 27822.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^101357097 is an apocalyptic number.

It is an amenable number.

101357097 is a deficient number, since it is larger than the sum of its proper divisors (38069463).

101357097 is a wasteful number, since it uses less digits than its factorization.

101357097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 101357097 is about 10067.6261849554. The cubic root of 101357097 is about 466.2491514574.

The spelling of 101357097 in words is "one hundred one million, three hundred fifty-seven thousand, ninety-seven".