106710615000 has 800 divisors, whose sum is σ = 431718368400. Its totient is φ = 24330240000.

The previous prime is 106710614963. The next prime is 106710615047. The reversal of 106710615000 is 516017601.

It is a super-2 number, since 2×106710615000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 75734296 + ... + 75735704.

Almost surely, 2^106710615000 is an apocalyptic number.

106710615000 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 106710615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215859184200).

106710615000 is an abundant number, since it is smaller than the sum of its proper divisors (325007753400).

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

106710615000 is a wasteful number, since it uses less digits than its factorization.

106710615000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 106710615000 in words is "one hundred six billion, seven hundred ten million, six hundred fifteen thousand".