101355961 has 6 divisors (see below), whose sum is σ = 117903930. Its totient is φ = 86876496.

The previous prime is 101355949. The next prime is 101355967. The reversal of 101355961 is 169553101.

It can be written as a sum of positive squares in only one way, i.e., 87067561 + 14288400 = 9331^2 + 3780^2 .

It is not a de Polignac number, because 101355961 - 2⁵ = 101355929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101355967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034196 + ... + 1034293.

It is an arithmetic number, because the mean of its divisors is an integer number (19650655).

Almost surely, 2^101355961 is an apocalyptic number.

It is an amenable number.

101355961 is a deficient number, since it is larger than the sum of its proper divisors (16547969).

101355961 is an equidigital number, since it uses as much as digits as its factorization.

101355961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068503 (or 2068496 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 101355961 is about 10067.5697663339. The cubic root of 101355961 is about 466.2474095599.

The spelling of 101355961 in words is "one hundred one million, three hundred fifty-five thousand, nine hundred sixty-one".