101355709 has 48 divisors (see below), whose sum is σ = 137907840. Its totient is φ = 72316800.

The previous prime is 101355697. The next prime is 101355713. The reversal of 101355709 is 907553101.

It is not a de Polignac number, because 101355709 - 2⁵ = 101355677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101355719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1661539 + ... + 1661599.

It is an arithmetic number, because the mean of its divisors is an integer number (2873080).

Almost surely, 2^101355709 is an apocalyptic number.

101355709 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

101355709 is a deficient number, since it is larger than the sum of its proper divisors (36552131).

101355709 is a wasteful number, since it uses less digits than its factorization.

101355709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 101355709 is about 10067.5572508926. The cubic root of 101355709 is about 466.2470231513.

The spelling of 101355709 in words is "one hundred one million, three hundred fifty-five thousand, seven hundred nine".