101196480 has 336 divisors, whose sum is σ = 411699456. Its totient is φ = 20459520.

The previous prime is 101196467. The next prime is 101196503. The reversal of 101196480 is 84691101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735022 + ... + 2735058.

It is an arithmetic number, because the mean of its divisors is an integer number (1225296).

Almost surely, 2^101196480 is an apocalyptic number.

101196480 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 101196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205849728).

101196480 is an abundant number, since it is smaller than the sum of its proper divisors (310502976).

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

101196480 is a wasteful number, since it uses less digits than its factorization.

101196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 101196480 is about 10059.6461170361. The cubic root of 101196480 is about 466.0027384147.

The spelling of 101196480 in words is "one hundred one million, one hundred ninety-six thousand, four hundred eighty".