101088780 has 192 divisors, whose sum is σ = 325987200. Its totient is φ = 23224320.

The previous prime is 101088761. The next prime is 101088791. The reversal of 101088780 is 87880101.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 927366 + ... + 927474.

It is an arithmetic number, because the mean of its divisors is an integer number (1697850).

Almost surely, 2^101088780 is an apocalyptic number.

101088780 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 101088780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162993600).

101088780 is an abundant number, since it is smaller than the sum of its proper divisors (224898420).

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

101088780 is a wasteful number, since it uses less digits than its factorization.

101088780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 101088780 is about 10054.2916209945. The cubic root of 101088780 is about 465.8373627346.

The spelling of 101088780 in words is "one hundred one million, eighty-eight thousand, seven hundred eighty".