101415000 has 80 divisors (see below), whose sum is σ = 316867320. Its totient is φ = 27040000.

The previous prime is 101414983. The next prime is 101415007. The reversal of 101415000 is 514101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101415007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11620 + ... + 18380.

Almost surely, 2^101415000 is an apocalyptic number.

101415000 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 101415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158433660).

101415000 is an abundant number, since it is smaller than the sum of its proper divisors (215452320).

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

101415000 is an equidigital number, since it uses as much as digits as its factorization.

101415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101415000 is about 10070.5014770864. The cubic root of 101415000 is about 466.3379203944.

Adding to 101415000 its reverse (514101), we get a palindrome (101929101).

It can be divided in two parts, 1014 and 15000, that multiplied together give a square (15210000 = 3900²).

The spelling of 101415000 in words is "one hundred one million, four hundred fifteen thousand".