101012640 has 96 divisors (see below), whose sum is σ = 336934080. Its totient is φ = 25350144.

The previous prime is 101012609. The next prime is 101012641. The reversal of 101012640 is 46210101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101012641) 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, 1971 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (3509730).

Almost surely, 2^101012640 is an apocalyptic number.

101012640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168467040).

101012640 is an abundant number, since it is smaller than the sum of its proper divisors (235921440).

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

101012640 is a wasteful number, since it uses less digits than its factorization.

101012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101012640 is about 10050.5044649510. The cubic root of 101012640 is about 465.7203772308.

Adding to 101012640 its reverse (46210101), we get a palindrome (147222741).

The spelling of 101012640 in words is "one hundred one million, twelve thousand, six hundred forty".