101945088 has 288 divisors, whose sum is σ = 359744000. Its totient is φ = 28449792.

The previous prime is 101945071. The next prime is 101945099. The reversal of 101945088 is 880549101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370795 + ... + 2370837.

Almost surely, 2^101945088 is an apocalyptic number.

101945088 is a gapful number since it is divisible by the number (18) 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 101945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179872000).

101945088 is an abundant number, since it is smaller than the sum of its proper divisors (257798912).

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

101945088 is an frugal number, since it uses more digits than its factorization.

101945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 101945088 is about 10096.7860232848. The cubic root of 101945088 is about 467.1490123878.

The spelling of 101945088 in words is "one hundred one million, nine hundred forty-five thousand, eighty-eight".