106970703840 has 1536 divisors, whose sum is σ = 520631193600. Its totient is φ = 19787120640.

The previous prime is 106970703803. The next prime is 106970703857. The reversal of 106970703840 is 48307079601.

It is a super-2 number, since 2×106970703840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 125404854 + ... + 125405706.

It is an arithmetic number, because the mean of its divisors is an integer number (338952600).

Almost surely, 2^106970703840 is an apocalyptic number.

106970703840 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 106970703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260315596800).

106970703840 is an abundant number, since it is smaller than the sum of its proper divisors (413660489760).

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

106970703840 is a wasteful number, since it uses less digits than its factorization.

106970703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 106970703840 in words is "one hundred six billion, nine hundred seventy million, seven hundred three thousand, eight hundred forty".