1101106072990 has 384 divisors, whose sum is σ = 2827004613120. Its totient is φ = 305954288640.

The previous prime is 1101106072987. The next prime is 1101106073017. The reversal of 1101106072990 is 992706011011.

1101106072990 is a modest number, since divided by 6072990 gives 110110 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210654757 + ... + 210659983.

It is an arithmetic number, because the mean of its divisors is an integer number (7361991180).

Almost surely, 2^{1101106072990} is an apocalyptic number.

1101106072990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101106072990 is an abundant number, since it is smaller than the sum of its proper divisors (1725898540130).

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

1101106072990 is a wasteful number, since it uses less digits than its factorization.

1101106072990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 37.

The spelling of 1101106072990 in words is "one trillion, one hundred one billion, one hundred six million, seventy-two thousand, nine hundred ninety".