101288157 has 16 divisors (see below), whose sum is σ = 137426880. Its totient is φ = 66344832.

The previous prime is 101288119. The next prime is 101288197. The reversal of 101288157 is 751882101.

It is not a de Polignac number, because 101288157 - 2⁶ = 101288093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101288197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68694 + ... + 70152.

It is an arithmetic number, because the mean of its divisors is an integer number (8589180).

Almost surely, 2^101288157 is an apocalyptic number.

It is an amenable number.

101288157 is a deficient number, since it is larger than the sum of its proper divisors (36138723).

101288157 is a wasteful number, since it uses less digits than its factorization.

101288157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 101288157 is about 10064.2017567217. The cubic root of 101288157 is about 466.1434180067.

The spelling of 101288157 in words is "one hundred one million, two hundred eighty-eight thousand, one hundred fifty-seven".