101958480 has 160 divisors (see below), whose sum is σ = 378309120. Its totient is φ = 25090560.

The previous prime is 101958457. The next prime is 101958487. The reversal of 101958480 is 84859101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101958487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26265 + ... + 29895.

It is an arithmetic number, because the mean of its divisors is an integer number (2364432).

Almost surely, 2^101958480 is an apocalyptic number.

101958480 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 101958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189154560).

101958480 is an abundant number, since it is smaller than the sum of its proper divisors (276350640).

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

101958480 is a wasteful number, since it uses less digits than its factorization.

101958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3654 counting only the distinct ones).

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

The square root of 101958480 is about 10097.4491828382. The cubic root of 101958480 is about 467.1694671436.

The spelling of 101958480 in words is "one hundred one million, nine hundred fifty-eight thousand, four hundred eighty".