106051055000 has 120 divisors (see below), whose sum is σ = 273121588740. Its totient is φ = 38563800000.

The previous prime is 106051054961. The next prime is 106051055021. The reversal of 106051055000 is 550150601.

It is a super-2 number, since 2×106051055000² (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 29 ways as a sum of consecutive naturals, for example, 517355 + ... + 692645.

Almost surely, 2^106051055000 is an apocalyptic number.

106051055000 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 106051055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136560794370).

106051055000 is an abundant number, since it is smaller than the sum of its proper divisors (167070533740).

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

106051055000 is a wasteful number, since it uses less digits than its factorization.

106051055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175339 (or 175309 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 106051055000 in words is "one hundred six billion, fifty-one million, fifty-five thousand".