106251020700 has 288 divisors, whose sum is σ = 347760241920. Its totient is φ = 24810240000.

The previous prime is 106251020693. The next prime is 106251020713. The reversal of 106251020700 is 7020152601.

It is a super-2 number, since 2×106251020700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49858635 + ... + 49860765.

It is an arithmetic number, because the mean of its divisors is an integer number (1207500840).

Almost surely, 2^106251020700 is an apocalyptic number.

106251020700 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 106251020700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880120960).

106251020700 is an abundant number, since it is smaller than the sum of its proper divisors (241509221220).

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

106251020700 is a wasteful number, since it uses less digits than its factorization.

106251020700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 106251020700 in words is "one hundred six billion, two hundred fifty-one million, twenty thousand, seven hundred".