101620512 has 216 divisors, whose sum is σ = 354790800. Its totient is φ = 27433728.

The previous prime is 101620507. The next prime is 101620579. The reversal of 101620512 is 215026101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267939 + ... + 268317.

It is an arithmetic number, because the mean of its divisors is an integer number (1642550).

Almost surely, 2^101620512 is an apocalyptic number.

101620512 is a gapful number since it is divisible by the number (12) 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 101620512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177395400).

101620512 is an abundant number, since it is smaller than the sum of its proper divisors (253170288).

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

101620512 is a wasteful number, since it uses less digits than its factorization.

101620512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101620512 is about 10080.6999756961. The cubic root of 101620512 is about 466.6527106938.

Adding to 101620512 its reverse (215026101), we get a palindrome (316646613).

It can be divided in two parts, 1016 and 20512, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 101620512 in words is "one hundred one million, six hundred twenty thousand, five hundred twelve".