101956848 has 120 divisors (see below), whose sum is σ = 311444352. Its totient is φ = 28651392.

The previous prime is 101956843. The next prime is 101956853. The reversal of 101956848 is 848659101.

It is an interprime number because it is at equal distance from previous prime (101956843) and next prime (101956853).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101956843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157261 + ... + 157907.

Almost surely, 2^101956848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101956848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155722176).

101956848 is an abundant number, since it is smaller than the sum of its proper divisors (209487504).

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

101956848 is a wasteful number, since it uses less digits than its factorization.

101956848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 101956848 is about 10097.3683700259. The cubic root of 101956848 is about 467.1669745452.

The spelling of 101956848 in words is "one hundred one million, nine hundred fifty-six thousand, eight hundred forty-eight".