101264020 has 48 divisors (see below), whose sum is σ = 249838848. Its totient is φ = 33989760.

The previous prime is 101264003. The next prime is 101264021. The reversal of 101264020 is 20462101.

It is a junction number, because it is equal to n+sod(n) for n = 101263985 and 101264003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101264021) 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, 14844 + ... + 20563.

It is an arithmetic number, because the mean of its divisors is an integer number (5204976).

Almost surely, 2^101264020 is an apocalyptic number.

101264020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101264020 is an abundant number, since it is smaller than the sum of its proper divisors (148574828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101264020 is a wasteful number, since it uses less digits than its factorization.

101264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35440 (or 35438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101264020 is about 10063.0025340353. The cubic root of 101264020 is about 466.1063876902.

The spelling of 101264020 in words is "one hundred one million, two hundred sixty-four thousand, twenty".