101899512 has 128 divisors (see below), whose sum is σ = 332640000. Its totient is φ = 28494720.

The previous prime is 101899477. The next prime is 101899519. The reversal of 101899512 is 215998101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101899519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239 + ... + 32537.

It is an arithmetic number, because the mean of its divisors is an integer number (2598750).

Almost surely, 2^101899512 is an apocalyptic number.

101899512 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 101899512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166320000).

101899512 is an abundant number, since it is smaller than the sum of its proper divisors (230740488).

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

101899512 is a wasteful number, since it uses less digits than its factorization.

101899512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 101899512 is about 10094.5288151553. The cubic root of 101899512 is about 467.0793868100.

It can be divided in two parts, 10189 and 9512, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 101899512 in words is "one hundred one million, eight hundred ninety-nine thousand, five hundred twelve".