101520000 has 320 divisors, whose sum is σ = 382377600. Its totient is φ = 26496000.

The previous prime is 101519927. The next prime is 101520019. The reversal of 101520000 is 25101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159977 + ... + 2160023.

It is an arithmetic number, because the mean of its divisors is an integer number (1194930).

Almost surely, 2^101520000 is an apocalyptic number.

101520000 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 101520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191188800).

101520000 is an abundant number, since it is smaller than the sum of its proper divisors (280857600).

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

101520000 is an frugal number, since it uses more digits than its factorization.

101520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 101520000 is about 10075.7133742480. The cubic root of 101520000 is about 466.4988058406.

Adding to 101520000 its reverse (25101), we get a palindrome (101545101).

The spelling of 101520000 in words is "one hundred one million, five hundred twenty thousand".