101216640 has 256 divisors, whose sum is σ = 391288320. Its totient is φ = 21725184.

The previous prime is 101216639. The next prime is 101216653. The reversal of 101216640 is 46612101.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 228259 + ... + 228701.

It is an arithmetic number, because the mean of its divisors is an integer number (1528470).

Almost surely, 2^101216640 is an apocalyptic number.

101216640 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 101216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195644160).

101216640 is an abundant number, since it is smaller than the sum of its proper divisors (290071680).

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

101216640 is a wasteful number, since it uses less digits than its factorization.

101216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101216640 is about 10060.6480904562. The cubic root of 101216640 is about 466.0336814917.

Adding to 101216640 its reverse (46612101), we get a palindrome (147828741).

It can be divided in two parts, 10121 and 6640, that added together give a palindrome (16761).

The spelling of 101216640 in words is "one hundred one million, two hundred sixteen thousand, six hundred forty".